Quraisy, Andi (2013) Estimasi Parameter Dan Pengujian Hipotesis Pada Model Regresi Bivariat Weibull Studi Kasus: Pasien Penderita Demam Berdarah Dengue di Rumah Sakit Umum Haji Surabaya tahun 2011. Masters thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Seringkali pemodelan regresi melibatkan variabel respon yang berdistribusi werbull baik univariat maupun multivariate. Untuk estimasi parameter model regresi bivariat weibull dengan menggunakan metode maksimum likelihood (MLE), namun hasil yang diperoleh tidak close form sehingga menggunakan metode 1erasi /vewion-kapnson. alam pengujian nipotesis digunakan metode maksimum likelihood ratio test (MLRT). Uji yang digunakan adalah uji serentak dan uji parsial yang dilakukan dengan statistik uji yang berdistribusi chi-square. Penelitian m1 mengkaji bentuk estimasi parameter dan pengujian hipotesis model regresi bivariat weibull. Sebagai penerapannya, penelitian ini diterapkan pada kasus demam berdarah di RSU Haji Surabaya tahun 2011. Hasil penelitian pada estimasi parameter menghasilkan 11 parameter dibawah populasi yaitu O = (0,,0,,0,,0,,,0,,.0,B, ....,B, )dan 6 parameter di bawah Hoyaitu & = (9,,0,,0,,0,,.0,,.&), Serta perbandingkan nilai Inlikelihood di bawah Ho dengan /nlikelihood di bawah populasi atau dengan perumusan In (L(@)/ LO) pada pengujian hipotesis. Sedangkan pada penerapannya, enam variabel yaitu umur, jenis kelamin, hemoglobin, leukosit, hematokrit, dan trombosit pada pengujian secara serentak menghasilkan minimal terdapat 1 variabel yang berpengaruh terhadap waktu grade I dan waktu grade II pada pasien penderita penyakit demam berdarah dengue di RSU Haji Surabaya, dan pengujian secara parsial menghasilkan variabel leukosit dan hematokrit yang tidak berpengaruh secara Signifikan.
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Kegression modeling often mvolves a response variable that Weibull distributed both univariate and multivariate analyzes. To estimate the Bivariate Weibull Regression Model parameters by using the maximum likelihood method (VILE), Dut tne results are not ciose form so use Newion-kapnson wWweration method. In the hypothesis testing method is used to the maximum likelihood ratio test (MLRT). Test that is used is synchronously and partial test that are done with the test statistic chi-square distributed. I his study examines the shape parameter estimation and hypothesis testing Bivariate Weibull Regression Model. As an application, this study is applied to the cases of dengue fever in RSU Haji Surabaya in 2011. The results on the estimation of the parameters yield 11 parameters under the population that is Q = (@,,0,,6,,0,,,0,,0,B,,...,B,)and 6 parameters under Hp, that is @ = (0,,0,,0,,8, 11? Inlikelihood values under Ho with Inlikelihood under population or the formulation of In (L(@)/ 4a) of the hypothesis testing . While in practice, the six variables, namely age, gender, hemoglobin, leukocytes, hematocrit, and platelet on testing simultaneously generate at least there is one variable that affects a time grade I and grade II in patients with dengue hemorrhagic fever in the RSU Haji Surabaya, and partial testing results leukocytes and hematocrit variable that are not effected significantly.
| Item Type: | Thesis (Masters) |
|---|---|
| Additional Information: | RTSt 519.536 Qur e 2013 3100013050752 (WEEDING) |
| Uncontrolled Keywords: | Bivariate weibull distribution, Weibull bivariate regression model |
| Subjects: | H Social Sciences > HA Statistics > HA31.3 Regression. Correlation. Logistic regression analysis. Q Science > QA Mathematics > QA278.2 Regression Analysis. Logistic regression |
| Divisions: | Faculty of Mathematics and Science > Statistics > 49101-(S2) Master Thesis |
| Depositing User: | Anis Wulandari |
| Date Deposited: | 31 Mar 2026 02:06 |
| Last Modified: | 31 Mar 2026 02:06 |
| URI: | http://repository.its.ac.id/id/eprint/132755 |
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